Finite Group Databasebeta

← Group #13161991

Character table — Group #13161991

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order1222333446666666663333344666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444488888888121212122244441212121212122424242424242424661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ611111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111
χ811111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-11111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11-111-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−i11-1-1ii−i−iii−i−i1-1i−ii−ii−iii−i−i11-1-1ii−i−i1-1i−i
χ1011-1-11111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11-111-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−i-1-111−i−iiiii−i−i-11i−i−iii−iii−i−i-1-111−i−iii-11−ii
χ1111-1-11111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11-111-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−ii11-1-1−i−iii−i−iii1-1−ii−ii−ii−i−iii11-1-1−i−iii1-1−ii
χ1211-1-11111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11-111-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−ii-1-111ii−i−i−i−iii-11−iii−i−ii−i−iii-1-111ii−i−i-11i−i
χ1311-1-11111-1-1-1-1111-1-1-111111-11-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−ii−i11-1-1ii−i−iii−i−i-11−ii−iii−i−i−iii11-1-1ii−i−i-11−ii
χ1411-1-11111-1-1-1-1111-1-1-111111-11-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−ii−i-1-111−i−iiiii−i−i1-1−iii−ii−i−i−iii-1-111−i−iii1-1i−i
χ1511-1-11111-1-1-1-1111-1-1-111111-11-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii−ii11-1-1−i−iii−i−iii-11i−ii−i−iiii−i−i11-1-1−i−iii-11i−i
χ1611-1-11111-1-1-1-1111-1-1-111111-11-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii−ii-1-111ii−i−i−i−iii1-1i−i−ii−iiii−i−i-1-111ii−i−i1-1−ii
χ172222222-2-22222222222222200222222222222222-2-2-2-20000-2-20000-2-2-2-2-2-2-2-2-2-2000000000000000000002222-2-2000000002222000000-2-20000000000000000
χ182222222-2-22222222222222200222222222222222-2-2-2-20000-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-2-22200000000-2-2-2-2000000220000000000000000
χ19222222-1222-1-122-12222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1222-12222-122-12-12-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000222200000000220000000000-1-1-1-10000-1-100
χ20222222-1222-1-122-12222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1222-12222-122-12-12-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000-2-2-2-200000000-2-20000000000111100001100
χ21222222-1222-1-122-12222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-1222-1-2-2-2-2-12-21-212-1-1-1-12-1-1-1-1-2-211111111-2-211111111000000222200000000-2-20000000000-1-1-1-100001100
χ22222222-1222-1-122-12222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-1222-1-2-2-2-2-12-21-212-1-1-1-12-1-1-1-1-2-211111111-2-211111111000000-2-2-2-20000000022000000000011110000-1-100
χ2322222-12222222-12-12-1-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-1-12-1-1-1-1222222-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122222200000000-1-1-1-1002200-1-1-1-1-1-1000000000000
χ2422222-12222222-12-12-1-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-1-12-1-1-1-1222222-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-200000000111100-2-200111111000000000000
χ2522222-12222222-12-12-1-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-12-1-12111122-2-2-2-2-12-1-1-1-12-1-1-111-2-211111111-2-211111122222200000000-1-1-1-100-2-200-1-11111000000000000
χ2622222-12222222-12-12-1-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-12-1-12111122-2-2-2-2-12-1-1-1-12-1-1-111-2-211111111-2-2111111-2-2-2-2-2-200000000111100220011-1-1-1-1000000000000
χ2722222-12-2-22222-12-12-1-12-1-1-100-1-122-1-1-1-1-1-1-12-1-1-1-211-2−i3i3−i3i3-2-200001-21111-2111−i3i300−i3−i3−i3i3i3i3−i3i300−i3−i3−i3i3i3i32222-2-200000000-1-1-1-100000011−i3i3−i3i3000000000000
χ2822222-12-2-22222-12-12-1-12-1-1-100-1-122-1-1-1-1-1-1-12-1-1-1-211-2−i3i3−i3i3-2-200001-21111-2111−i3i300−i3−i3−i3i3i3i3−i3i300−i3−i3−i3i3i3i3-2-2-2-222000000001111000000-1-1i3−i3i3−i3000000000000
χ2922222-12-2-22222-12-12-1-12-1-1-100-1-122-1-1-1-1-1-1-12-1-1-1-211-2i3−i3i3−i3-2-200001-21111-2111i3−i300i3i3i3−i3−i3−i3i3−i300i3i3i3−i3−i3−i32222-2-200000000-1-1-1-100000011i3−i3i3−i3000000000000
χ3022222-12-2-22222-12-12-1-12-1-1-100-1-122-1-1-1-1-1-1-12-1-1-1-211-2i3−i3i3−i3-2-200001-21111-2111i3−i300i3i3i3−i3−i3−i3i3−i300i3i3i3−i3−i3−i3-2-2-2-222000000001111000000-1-1−i3i3−i3i3000000000000
χ312222-12222-122-1222-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-122222222-1-12-12-1-12-1-1-1-12-1-1-1-1-1-12-1-12-1-1-1-1-1-12-1-12-1-10000000000222200000000220000000000-1-1-1-100-1-1
χ322222-12222-122-1222-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-122222222-1-12-12-1-12-1-1-1-12-1-1-1-1-1-12-1-12-1-1-1-1-1-12-1-12-1-10000000000-2-2-2-200000000-2-2000000000011110011
χ332222-12222-122-1222-12-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-2-2-2-22-11-21-2-1-12-1-1-1-12-1-11111-211-2111111-211-2110000000000222200000000-2-20000000000-1-1-1-10011
χ342222-12222-122-1222-12-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-2-2-2-22-11-21-2-1-12-1-1-1-12-1-11111-211-2111111-211-2110000000000-2-2-2-200000000220000000000111100-1-1
χ3522-2-2222-22-2-2-2222-2-2-22222200-2-2-2-2-2-2-2-2-2-222222-2-2220000-220000-2-2-2-2-222222000000000000000000002i2i−2i−2i−2i2i000000002i2i−2i−2i000000−2i2i0000000000000000
χ3622-2-2222-22-2-2-2222-2-2-22222200-2-2-2-2-2-2-2-2-2-222222-2-2220000-220000-2-2-2-2-22222200000000000000000000−2i−2i2i2i2i−2i00000000−2i−2i2i2i0000002i−2i0000000000000000
χ3722-2-222-12-2-21122-1-2-2-22-1-1-1-12-2-2-2111111112-1-1-1-122-2122-2-2-1-22-1-212-1-1-1-1-2111122-1-1-1-1-1-1-1-1-2-21111111100000022-2-2000000002-20000000000-1-1110000-1100
χ3822-2-222-12-2-21122-1-2-2-22-1-1-1-12-2-2-2111111112-1-1-1-122-2122-2-2-1-22-1-212-1-1-1-1-2111122-1-1-1-1-1-1-1-1-2-211111111000000-2-22200000000-22000000000011-1-100001-100
χ3922-2-222-12-2-21122-1-2-2-22-1-1-1-1-22-2-2111111112-1-1-1-122-21-2-222-1-2-212-12-1-1-1-1-21111-2-21111111122-1-1-1-1-1-1-1-100000022-2-200000000-220000000000-1-11100001-100
χ4022-2-222-12-2-21122-1-2-2-22-1-1-1-1-22-2-2111111112-1-1-1-122-21-2-222-1-2-212-12-1-1-1-1-21111-2-21111111122-1-1-1-1-1-1-1-1000000-2-222000000002-2000000000011-1-10000-1100
χ4122-2-22-122-2-2-2-22-121-21-12-1-1-12-211-2-2111111-12-1-1-12-11-2-1-1112-222-2-2-12-1-1-11-2111-1-122-1-1-1-1-1-111-2-21111112i2i−2i−2i2i−2i00000000−i−iii002i−2i00−ii−i−iii000000000000
χ4222-2-22-122-2-2-2-22-121-21-12-1-1-12-211-2-2111111-12-1-1-12-11-2-1-1112-222-2-2-12-1-1-11-2111-1-122-1-1-1-1-1-111-2-2111111−2i−2i2i2i−2i2i00000000ii−i−i00−2i2i00i−iii−i−i000000000000
χ4322-2-22-122-2-2-2-22-121-21-12-1-1-1-2211-2-2111111-12-1-1-12-11-211-1-12-2-2-222-12-1-1-11-211111-2-2111111-1-122-1-1-1-1-1-12i2i−2i−2i2i−2i00000000−i−iii00−2i2i00−iiii−i−i000000000000
χ4422-2-22-122-2-2-2-22-121-21-12-1-1-1-2211-2-2111111-12-1-1-12-11-211-1-12-2-2-222-12-1-1-11-211111-2-2111111-1-122-1-1-1-1-1-1−2i−2i2i2i−2i2i00000000ii−i−i002i−2i00i−i−i−iii000000000000
χ4522-2-22-12-22-2-2-22-121-21-12-1-1-10011-2-2111111-12-1-1-1-21-12−i3i3i3−i3-2200001-2111-12-1-1-1−i3i300−i3−i3−i3i3i3i3i3−i300i3i3i3−i3−i3−i32i2i−2i−2i−2i2i00000000−i−iii000000i−i3−3−33000000000000
χ4622-2-22-12-22-2-2-22-121-21-12-1-1-10011-2-2111111-12-1-1-1-21-12−i3i3i3−i3-2200001-2111-12-1-1-1−i3i300−i3−i3−i3i3i3i3i3−i300i3i3i3−i3−i3−i3−2i−2i2i2i2i−2i00000000ii−i−i000000−ii−333−3000000000000
χ4722-2-22-12-22-2-2-22-121-21-12-1-1-10011-2-2111111-12-1-1-1-21-12i3−i3−i3i3-2200001-2111-12-1-1-1i3−i300i3i3i3−i3−i3−i3−i3i300−i3−i3−i3i3i3i32i2i−2i−2i−2i2i00000000−i−iii000000i−i−333−3000000000000
χ4822-2-22-12-22-2-2-22-121-21-12-1-1-10011-2-2111111-12-1-1-1-21-12i3−i3−i3i3-2200001-2111-12-1-1-1i3−i300i3i3i3−i3−i3−i3−i3i300−i3−i3−i3i3i3i3−2i−2i2i2i2i−2i00000000ii−i−i000000−ii3−3−33000000000000
χ4922-2-2-1222-21-2-2-122-21-2-1-12-1-12-21111-2-21111-1-12-1-1-12-2-222-2-221-121-2-1-12-1-111-211-1-1-1-12-1-12-1-11111-211-21100000000002i2i−2i−2i000000002i−2i0000000000−i−iii00−ii
χ5022-2-2-1222-21-2-2-122-21-2-1-12-1-12-21111-2-21111-1-12-1-1-12-2-222-2-221-121-2-1-12-1-111-211-1-1-1-12-1-12-1-11111-211-2110000000000−2i−2i2i2i00000000−2i2i0000000000ii−i−i00i−i
χ5122-2-2-1222-21-2-2-122-21-2-1-12-1-1-221111-2-21111-1-12-1-1-12-2-2-2-222211-2-12-1-12-1-111-2111111-211-211-1-1-1-12-1-12-1-100000000002i2i−2i−2i00000000−2i2i0000000000−i−iii00i−i
χ5222-2-2-1222-21-2-2-122-21-2-1-12-1-1-221111-2-21111-1-12-1-1-12-2-2-2-222211-2-12-1-12-1-111-2111111-211-211-1-1-1-12-1-12-1-10000000000−2i−2i2i2i000000002i−2i0000000000ii−i−i00−ii
χ532-22-22220022-2-2-2-2-2-2222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i00−i2i2−i2i22−22−22i−2i2i−2i000000000000−i2i2−i2i22−22−20000
χ542-22-22220022-2-2-2-2-2-2222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i00i2−i2i2−i2−22−222i−2i2i−2i000000000000i2−i2i2−i2−22−220000
χ552-22-22220022-2-2-2-2-2-2222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i00−i2i2−i2i2−22−22−2i2i−2i2i000000000000−i2i2−i2i2−22−220000
χ562-22-22220022-2-2-2-2-2-2222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i00i2−i2i2−i22−22−2−2i2i−2i2i000000000000i2−i2i2−i22−22−20000
χ572-2-2222200-2-22-2-2-222-22222200-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000002-2-2200−i2i2i2−i2−i2i2i2−i22-2-22000000000000−i2i2i2−i2−i2i2i2−i20000
χ582-2-2222200-2-22-2-2-222-22222200-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000002-2-2200i2−i2−i2i2i2−i2−i2i22-2-22000000000000i2−i2−i2i2i2−i2−i2i20000
χ592-2-2222200-2-22-2-2-222-22222200-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000000000-222-200−i2i2i2−i2i2−i2−i2i2-222-2000000000000−i2i2i2−i2i2−i2−i2i20000
χ602-2-2222200-2-22-2-2-222-22222200-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000000000-222-200i2−i2−i2i2−i2i2i2−i2-222-2000000000000i2−i2−i2i2−i2i2i2−i20000
χ61444444-2-4-44-2-244-24444-2-2-2-20044-2-2-2-2-2-2-2-24-2-2-2-2-4-4-4200002-40000-42222-4222200000000000000000000000000000000000000000000000000000000000000
χ6244444-2-2444-2-24-2-2-24-2-2-211144-2-2-2-2111111-2-21114-2-2-2-2-2-2-2-244-24-2-2-2111-2-2111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ6344444-2-2444-2-24-2-2-24-2-2-2111-4-4-2-2-2-2111111-2-21114-2-2-22222-24-42-42-2-2111-2-21112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6444444-2-2-4-44-2-24-2-2-24-2-2-211100-2-2-2-2111111-2-2111-4222−2i32i3−2i32i32-4000022-1-1-122-1-1-1−2i32i300i3i3i3−i3−i3−i3−2i32i300i3i3i3−i3−i3−i3000000000000000000000000000000000000000000
χ6544444-2-2-4-44-2-24-2-2-24-2-2-211100-2-2-2-2111111-2-2111-42222i3−2i32i3−2i32-4000022-1-1-122-1-1-12i3−2i300−i3−i3−i3i3i3i32i3−2i300−i3−i3−i3i3i3i3000000000000000000000000000000000000000000
χ664444-244-4-4-244-2444-24-2-24-2-200-2-2-2-244-2-2-2-2-2-24-2-22-4-4-40000-42000022-42222-42200000000000000000000000000000000000000000000000000000000000000
χ674444-24-244-2-2-2-24-24-24-21-21144-2-211-2-21111-21-211-244-24444-2-2-2-2-2-2-21-211-21-211-2-211-211-211-2-211-211-211000000000000000000000000000000000000000000
χ684444-24-244-2-2-2-24-24-24-21-211-4-4-2-211-2-21111-21-211-244-2-4-4-4-4-2-22222-21-211-21-21122-1-12-1-12-1-122-1-12-1-12-1-1000000000000000000000000000000000000000000
χ694444-24-2-4-4-2-2-2-24-24-24-21-21100-2-211-2-21111-21-2112-4-4200002200002-12-1-12-12-1-1003-303-303-3003-303-303-3000000000000000000000000000000000000000000
χ704444-24-2-4-4-2-2-2-24-24-24-21-21100-2-211-2-21111-21-2112-4-4200002200002-12-1-12-12-1-100-330-330-3300-330-330-33000000000000000000000000000000000000000000
χ714444-2-2444-244-2-24-2-2-21-2-2114411-2-2-2-211111-2-211-2-2-24-2-2-2-24-2-24-241-2-2111-2-21111-2-2-211-21111-2-2-211-211000000000000000000000000000000000000000000
χ724444-2-2444-244-2-24-2-2-21-2-211-4-411-2-2-2-211111-2-211-2-2-2422224-22-42-41-2-2111-2-211-1-1222-1-12-1-1-1-1222-1-12-1-1000000000000000000000000000000000000000000
χ734444-2-24-4-4-244-2-24-2-2-21-2-2110011-2-2-2-211111-2-211222-4−2i32i3−2i32i3-420000-122-1-1-122-1-1i3−i300−2i3i3i32i3−i3−i3i3−i300−2i3i3i32i3−i3−i3000000000000000000000000000000000000000000
χ744444-2-24-4-4-244-2-24-2-2-21-2-2110011-2-2-2-211111-2-211222-42i3−2i32i3−2i3-420000-122-1-1-122-1-1−i3i3002i3−i3−i3−2i3i3i3−i3i3002i3−i3−i3−2i3i3i3000000000000000000000000000000000000000000
χ754444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i3211111−1−3i32−1+3i321−1+3i32−1−3i3211111−1−3i32−1+3i321−1+3i32−1−3i32000000000000000000000000000000000000000000
χ764444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-22222-2-22222111−1−3i32−1+3i32111−1−3i32−1+3i32-1-1-1-1-11+3i321−3i32-11−3i321+3i32-1-1-1-1-11+3i321−3i32-11−3i321+3i32000000000000000000000000000000000000000000
χ774444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i3211111−1+3i32−1−3i321−1−3i32−1+3i3211111−1+3i32−1−3i321−1−3i32−1+3i32000000000000000000000000000000000000000000
χ784444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-22222-2-22222111−1+3i32−1−3i32111−1+3i32−1−3i32-1-1-1-1-11−3i321+3i32-11+3i321−3i32-1-1-1-1-11−3i321+3i32-11+3i321−3i32000000000000000000000000000000000000000000
χ794444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3200111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222−2i32i3−2i32i3220000-1-1-11+3i321−3i32-1-1-11+3i321−3i32i3−i33-3i3−3−i323−i32−i3−3+i323+i32i3−i33-3i3−3−i323−i32−i3−3+i323+i32000000000000000000000000000000000000000000
χ804444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3200111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222222i3−2i32i3−2i3220000-1-1-11+3i321−3i32-1-1-11+3i321−3i32−i3i3-33−i33+i32−3+i32i33−i32−3−i32−i3i3-33−i33+i32−3+i32i33−i32−3−i32000000000000000000000000000000000000000000
χ814444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3200111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222−2i32i3−2i32i3220000-1-1-11−3i321+3i32-1-1-11−3i321+3i32i3−i3-33i33−i32−3−i32−i33+i32−3+i32i3−i3-33i33−i32−3−i32−i33+i32−3+i32000000000000000000000000000000000000000000
χ824444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3200111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222222i3−2i32i3−2i3220000-1-1-11−3i321+3i32-1-1-11−3i321+3i32−i3i33-3−i3−3+i323+i32i3−3−i323−i32−i3i33-3−i3−3+i323+i32i3−3−i323−i32000000000000000000000000000000000000000000
χ8344-4-444-2-44-42244-2-4-4-44-2-2-2-200-4-4222222224-2-2-2-2-4-44-20000240000-422224-2-2-2-200000000000000000000000000000000000000000000000000000000000000
χ8444-4-44-2-24-4-4224-2-22-42-2-21114-42222-1-1-1-1-1-1-2-21114-222-2-222-2-44-2-42-2-211122-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8544-4-44-2-24-4-4224-2-22-42-2-2111-442222-1-1-1-1-1-1-2-21114-22222-2-2-2-4-424-2-2-211122-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ8644-4-44-2-2-44-4224-2-22-42-2-2111002222-1-1-1-1-1-1-2-2111-42-2-2−2i32i32i3−2i324000022-1-1-1-2-2111−2i32i300i3i3i3−i3−i3−i32i3−2i300−i3−i3−i3i3i3i3000000000000000000000000000000000000000000
χ8744-4-44-2-2-44-4224-2-22-42-2-2111002222-1-1-1-1-1-1-2-2111-42-2-22i3−2i3−2i32i324000022-1-1-1-2-21112i3−2i300−i3−i3−i3i3i3i3−2i32i300i3i3i3−i3−i3−i3000000000000000000000000000000000000000000
χ8844-4-4-244-442-4-4-244-42-4-2-24-2-2002222-4-42222-2-24-2-22-4440000-4-2000022-422-2-24-2-200000000000000000000000000000000000000000000000000000000000000
χ8944-4-4-24-24-4222-24-2-42-4-21-2114-422-1-122-1-1-1-1-21-211-24-4244-4-4-22-2-222-21-2112-12-1-1-2-211-211-21122-1-12-1-12-1-1000000000000000000000000000000000000000000
χ9044-4-4-24-24-4222-24-2-42-4-21-211-4422-1-122-1-1-1-1-21-211-24-42-4-444-2222-2-2-21-2112-12-1-122-1-12-1-12-1-1-2-211-211-211000000000000000000000000000000000000000000
χ9144-4-4-24-2-44222-24-2-42-4-21-2110022-1-122-1-1-1-1-21-2112-44-200002-200002-12-1-1-21-211003-303-303-300-330-330-33000000000000000000000000000000000000000000
χ9244-4-4-24-2-44222-24-2-42-4-21-2110022-1-122-1-1-1-1-21-2112-44-200002-200002-12-1-1-21-21100-330-330-33003-303-303-3000000000000000000000000000000000000000000
χ9344-4-4-2-244-42-4-4-2-242221-2-2114-4-1-12222-1-1-1-11-2-211-2-22-4-2-22242-242-41-2-211-122-1-111-2-2-211-211-1-1222-1-12-1-1000000000000000000000000000000000000000000
χ9444-4-4-2-244-42-4-4-2-242221-2-211-44-1-12222-1-1-1-11-2-211-2-22-422-2-2422-4-241-2-211-122-1-1-1-1222-1-12-1-111-2-2-211-211000000000000000000000000000000000000000000
χ9544-4-4-2-24-442-4-4-2-242221-2-21100-1-12222-1-1-1-11-2-21122-24−2i32i32i3−2i3-4-20000-122-1-11-2-211i3−i300−2i3i3i32i3−i3−i3−i3i3002i3−i3−i3−2i3i3i3000000000000000000000000000000000000000000
χ9644-4-4-2-24-442-4-4-2-242221-2-21100-1-12222-1-1-1-11-2-21122-242i3−2i3−2i32i3-4-20000-122-1-11-2-211−i3i3002i3−i3−i3−2i3i3i3i3−i300−2i3i3i32i3−i3−i3000000000000000000000000000000000000000000
χ9744-4-4-2-2-24-4222-2-2-2222111−1−3i32−1+3i324-4-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-222-2-222-22-2-222111−1−3i32−1+3i32-1-1-11+3i321−3i3211111−1−3i32−1+3i321−1+3i32−1−3i32-1-1-1-1-11+3i321−3i32-11−3i321+3i32000000000000000000000000000000000000000000
χ9844-4-4-2-2-24-4222-2-2-2222111−1−3i32−1+3i32-44-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-22222-2-2-2222-2-2111−1−3i32−1+3i32-1-1-11+3i321−3i32-1-1-1-1-11+3i321−3i32-11−3i321+3i3211111−1−3i32−1+3i321−1+3i32−1−3i32000000000000000000000000000000000000000000
χ9944-4-4-2-2-24-4222-2-2-2222111−1+3i32−1−3i324-4-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-222-2-222-22-2-222111−1+3i32−1−3i32-1-1-11−3i321+3i3211111−1+3i32−1−3i321−1−3i32−1+3i32-1-1-1-1-11−3i321+3i32-11+3i321−3i32000000000000000000000000000000000000000000
χ10044-4-4-2-2-24-4222-2-2-2222111−1+3i32−1−3i32-44-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-22222-2-2-2222-2-2111−1+3i32−1−3i32-1-1-11−3i321+3i32-1-1-1-1-11−3i321+3i32-11+3i321−3i3211111−1+3i32−1−3i321−1−3i32−1+3i32000000000000000000000000000000000000000000
χ10144-4-4-2-2-2-44222-2-2-2222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-2-2−2i32i32i3−2i32-20000-1-1-11+3i321−3i32111−1−3i32−1+3i32i3−i33-3i3−3−i323−i32−i3−3+i323+i32−i3i3-33−i33+i32−3+i32i33−i32−3−i32000000000000000000000000000000000000000000
χ10244-4-4-2-2-2-44222-2-2-2222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-2-22i3−2i3−2i32i32-20000-1-1-11+3i321−3i32111−1−3i32−1+3i32−i3i3-33−i33+i32−3+i32i33−i32−3−i32i3−i33-3i3−3−i323−i32−i3−3+i323+i32000000000000000000000000000000000000000000
χ10344-4-4-2-2-2-44222-2-2-2222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-2-2−2i32i32i3−2i32-20000-1-1-11−3i321+3i32111−1+3i32−1−3i32i3−i3-33i33−i32−3−i32−i33+i32−3+i32−i3i33-3−i3−3+i323+i32i3−3−i323−i32000000000000000000000000000000000000000000
χ10444-4-4-2-2-2-44222-2-2-2222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-2-22i3−2i3−2i32i32-20000-1-1-11−3i321+3i32111−1+3i32−1−3i32−i3i33-3−i3−3+i323+i32i3−3−i323−i32i3−i3-33i33−i32−3−i32−i33+i32−3+i32000000000000000000000000000000000000000000
χ1054-44-444-2004-22-4-42-4-444-2-2-2-2004-4-22-22-2-222-4222200000000000000000000000000000000000000000000000000−2i22i2−2i22i200000000000000000000i2−i2i2−i200000000
χ1064-44-444-2004-22-4-42-4-444-2-2-2-2004-4-22-22-2-222-42222000000000000000000000000000000000000000000000000002i2−2i22i2−2i200000000000000000000−i2i2−i2i200000000
χ1074-44-44-240044-4-42-42-4-2-24-2-2-200-224-4-22-2-2222-4222000000000000000000000000000000000000000000004i−4i4i−4i0000000000−2i2i−2i2i000000000000000000000000
χ1084-44-44-240044-4-42-42-4-2-24-2-2-200-224-4-22-2-2222-422200000000000000000000000000000000000000000000−4i4i−4i4i00000000002i−2i2i−2i000000000000000000000000
χ1094-44-4-24400-24-42-4-4-424-2-24-2-200-22-224-4-2-22222-42200000000000000000000000000000000000000000000000000000022−2222−2200000000000000000000−22−220000
χ1104-44-4-24400-24-42-4-4-424-2-24-2-200-22-224-4-2-22222-422000000000000000000000000000000000000000000000000000000−2222−2222000000000000000000002−22−20000
χ1114-4-4444-200-42-2-4-4244-44-2-2-2-200-442-22-222-2-2-4222200000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000i2−i2−i2i200000000
χ1124-4-4444-200-42-2-4-4244-44-2-2-2-200-442-22-222-2-2-42222000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000−i2i2i2−i200000000
χ1134-4-444-2400-4-44-42-4-242-24-2-2-2002-2-442-222-2-22-4222000000000000000000000000000000000000000000004-4-440000000000-222-2000000000000000000000000
χ1144-4-444-2400-4-44-42-4-242-24-2-2-2002-2-442-222-2-22-422200000000000000000000000000000000000000000000-444-400000000002-2-22000000000000000000000000
χ1154-4-44-244002-442-4-44-2-4-2-24-2-2002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000i2−i2−i2i20000
χ1164-4-44-244002-442-4-44-2-4-2-24-2-2002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000−i2i2i2−i20000
χ1178-88-88-4-4008-44-8444-8-4-4-422200-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-48-400-4-444-84-848-42-42200-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4800-48-844-844-42-4-422002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-400-4-4444444-4222−1−3i3−1+3i3002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-4-400-4-4444444-4222−1+3i3−1−3i3002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-888-4-400-84-4-844-484-4-4222004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-48-40044-44-848-4-8-42-422004-4-224-4-2-2224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-4-48004-8844-8-4-442-4-42200-224-44-4-2-222-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-40044-4444-4-44222−1−3i3−1+3i300-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-40044-4444-4-44222−1+3i3−1−3i300-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).